4255575625728 has 2496 divisors, whose sum is σ = 17036189614080. Its totient is φ = 1031956070400.

The previous prime is 4255575625673. The next prime is 4255575625739. The reversal of 4255575625728 is 8275265755524.

4255575625728 is a `hidden beast` number, since 4 + 2 + 5 + 5 + 5 + 7 + 56 + 2 + 572 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (235200000) is a multiple of the sum of its prime divisors (140).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69763534818 + ... + 69763534878.

It is an arithmetic number, because the mean of its divisors is an integer number (6825396480).

Almost surely, 2^{4255575625728} is an apocalyptic number.

4255575625728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4255575625728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8518094807040).

4255575625728 is an abundant number, since it is smaller than the sum of its proper divisors (12780613988352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4255575625728 is a wasteful number, since it uses less digits than its factorization.

4255575625728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 140 counting only the distinct ones).

The product of its digits is 235200000, while the sum is 63.

The spelling of 4255575625728 in words is "four trillion, two hundred fifty-five billion, five hundred seventy-five million, six hundred twenty-five thousand, seven hundred twenty-eight".